What is te^{-2t}*(-2)e^{-2t} ?

The solution to te^{-2t}*(-2)e^{-2t} is -2e^{-4t}t

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simplify te^{-2t}*(-2)e^{-2t}

simplify

t e^{- 2 t} \cdot (- 2) e^{- 2 t}

- 2 e^{- 4 t} t

Solution steps

t e^{- 2 t} (- 2) e^{- 2 t}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{- 2 t} e^{- 2 t} = e^{- 2 t - 2 t}

= t (- 2) e^{- 2 t - 2 t}

Add similar elements:

- 2 t - 2 t = - 4 t

= t (- 2) e^{- 4 t}

Remove parentheses:

(- a) = - a

= - t \cdot 2 e^{- 4 t}

15.4 \cdot \frac{1. 1 ^{2}}{1.8 5 ^{2}}

5 e^{2} \cdot 5

0.00005301 \cdot (3 \cdot 9 \cdot 1 0^{- 6}) \cdot 65

\frac{1}{2} \cdot 159150 \cdot (- 1.27 - 13.93)^{2} \cdot 1 0^{- 6}

e^{- x^{10}} \cdot x^{9}

What is te^{-2t}*(-2)e^{-2t} ?
The solution to te^{-2t}*(-2)e^{-2t} is -2e^{-4t}t